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Finding the Fourth Proportional to 13,496.32, 20,244.06 and 7,653.16

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Solution

The fourth proportional to 13,496.32, 20,244.06 and 7,653.16 is: 11,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.32 : 20,244.06 = 7,653.16 : x
  2. Step 2: Convert to fraction form
    13,496.32/20,244.06 = 7,653.16/x
  3. Step 3: Cross multiply
    13,496.32x = 20,244.06 × 7,653.16
  4. Step 4: Simplify right side
    13,496.32x = 154,931,030.23
  5. Step 5: Solve for x
    x = 154,931,030.23/13,496.32
  6. Step 6: Final answer
    x = 11,479.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.